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Some Deterministic Models for the Spread of Genetic and Other Alterations

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Biological Growth and Spread

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 38))

Abstract

Because there are several recent surveys of aspects of the theory of growth and spread of mutant genes, populations, and epidemics, including at least six by participants in this symposium [5, 11, 13, 19, 38, 39, 51], I will only present some ideas on these subjects and illustrate them with some mathematical results which have been of interest to me. In particular, I will only be concerned with homogeneous habitats, and will not discuss clines or the effects of boundaries.

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Author information

Authors and Affiliations

  1. University of Minnesota, Minneapolis, MN, 55455, USA

    Hans F. Weinberger

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  1. Hans F. Weinberger
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Editors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, D-6900, Heidelberg 1, Federal Republic of Germany

    Willi Jäger  & Hermann Rost  & 

  2. Institut für Dokumentation, Information und Statistik, Deutsches Krebsforschungszentrum, Im Neuenheimer Feld 280, D-6900, Heidelberg 1, Federal Republic of Germany

    Petre Tautu

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Weinberger, H.F. (1980). Some Deterministic Models for the Spread of Genetic and Other Alterations. In: Jäger, W., Rost, H., Tautu, P. (eds) Biological Growth and Spread. Lecture Notes in Biomathematics, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61850-5_30

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  • DOI: https://doi.org/10.1007/978-3-642-61850-5_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10257-1

  • Online ISBN: 978-3-642-61850-5

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